The book addresses many topics not usually in “second course in complex analysis” texts. It also contains multiple proofs of several central results, and it has a minor historical perspective.

– Proof of Bieberbach conjecture (after DeBranges)
– Material on asymptotic values
– Material on Natural Boundaries
– First four chapters are comprehensive introduction to entire and metomorphic functions
– First chapter (Riemann Mapping Theorem) takes up where “first courses” usually leave off